Suppose there is a simple index of three stocks, stock ABC, stock XYZ, and stock QRS. Stock ABC opens on day 1 with 8000 shares at $4.25 per share. Stock XYZ opens on day 1 with 5000 shares at $2.90 per share. Stock QRS opens on day 1 with 2000 shares at $6.40 per share. The price of stock ABC on day 8 begins at $3.90. The price of stock XYZ on day 8 begins at $2.50. Stock QRS opens on day 8 with a price of $6.10 per share. Assume that each stock has the same number of shares that it opened with on day 1. What is the rate of change of this simple index over 1 week? ​

The solutions to the systems of equations are:

1. (2, 3) (see attachment below). [one solution]

2. no solution

3. (3, 13) [one solution]

The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.

1. Using graph to solve y = 2x - 1 and y = 4x - 5:

The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]

2. Solving using substitution method:

x = -5y + 4 ---> eqn. 1

3x + 15y = -1 ---> eqn. 2

Substitute x = -5y + 4 into eqn. 2

3(-5y + 4) + 15y = -1

-15y + 12 + 15y = -1

-15y + 15y = -1 - 12

0 = -13 (this shows that there is no solution)

3. Using elimination method:

14x = 2y + 16 ---> eqn. 1

5x = y + 2 ---> eqn. 2

1(14x = 2y + 16)

2(5x = y + 2)

14x = 2y + 16 ----> eqn. 3

10x = 2y + 4 -----> eqn. 4

Subtract

4x = 12

x = 12/4

x = 3

Substitute x = 3 into eqn. 2

5(3) = y + 2

15 = y + 2

15 - 2 = y

13 = y

y = 13

The solution is: (3, 13).

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Answer:

Radio
r=4.5cm

Area
63.62cm2

Perímetro
C≈28.27cm

The growth factor:

   ⇒ is the base in the exponent:

       ⇒ the larger it is ⇒ the greater the growth factor is!

Let's Analyze our choices:

The greatest growth factor is 3

Answer: d(t)

Hope that helps!

The advantages and disadvantages of the kind of technology we have access to in the early 21st century include:

Advantages:

The improvement of productivity.

Better and easier communication between people.

Disadvantages:

Can be bad for the environment.

Technology might be able to replace humans in jobs.

Technology is the result of accumulated knowledge and the application of skills, and processes used in industrial production and scientific research.

Technology is embedded in the operation of all machines for the intended purpose of an organization.

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(2x² - 3x) / 7 is the quotient of the given division.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

To divide by a fraction, we can multiply by its reciprocal. So to simplify the expression:

((2x-3)/x ) / (7/x²)

We can multiply the numerator by the reciprocal of the denominator:

((2x-3)/x ) * (x²/7)

Simplifying this expression, we can cancel out the common factor of x in the numerator and denominator:

(2x-3) * (x/7)

Expanding the product:

(2x² - 3x) / 7

Therefore, the quotient of ((2x-3)/x ) / (7/x^2) is (2x² - 3x) / 7.

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Answer:

this is one of systematic sample and correct option is d

Using the slope concept, it is found that the maximum length of the seesaw is of 1.73 meters.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

tan(30º) = 1/l

l = 1/tan(30º)

l = 1.73.

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Answer:

Kurt 10    Courtney 10    Mark brainiest

Step-by-step explanation:

I did this too

Answer:

they each have 10 if you count     mark me brainiest, please

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

The square notation indicates 90 degrees.

90=(x+3)+(x-1)+(x+1)

90=3x+3

87=3x

x=29

Answer:

x = 29

(x + 3)° = 32°

(x - 1)° = 28°

(x + 1)° = 30°

Step-by-step explanation:

Answer:

50.24 inches^2

Step-by-step explanation:

D=8 inches, r=D/2, r=8/2=4 inches

Area of circle= πr^2

=3.14×4×4

=3.14×16

=50.24

Answer:

Step-by-step explanation:

If 5 apples cost $1.15, find the cost of 16 apples

5 : 1.15 = 16 : x

x = 1.15 * 16 : 5

x = 18.04 : 5

x = 3.68

check

5 : 1.15 = 16 : 3.68

4.34 = 4.34

the answer is good

Answer:a

Step-by-step explanation:Bottom line includes the end point so should be less than or equal. Top line does not so should be greater than

Answer:

1/4

Step-by-step explanation:

[tex]\frac{5}{8}[/tex]x[tex]\frac{4}{10}[/tex]

multiply the numerators and denominators

[tex]\frac{20}{80}[/tex]

simplify

cancel the zeros and get 2/8

then simplify to 1/4

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to multiply 5/8 times 4/10.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

///\\\\///\\\\////\\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\//\\\\////\\\\////\\\\///\\\\///\\\///\\\//\\

                                   Multiplying fractions

Multiply the numerator of one fraction times the numerator of the other fraction:

5×4=20

Same with the denominator:

8×10=80

Put them together:

[tex]\pmb{\cfrac{20}{80}}[/tex]

Divide the numerator and denominator by 20:

[tex]\pmb{\cfrac{1}{4}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

[tex]\bf{\overline{\underline{\overline{\underline{Maribel\:Peri}}}}[/tex]

Answer:

The answer is

" THe middle triangle is scalene"

and "the right and left triangle are isosceles"

Step-by-step explanation:

This is because B, and D are wrong.

B is wrong because all three sides are different lengths

D is wrong because the right and left triangles are not equalateral

give brainliest please!

hope this helps :)

Answer:

[tex]0.0197277[/tex]

Step-by-step explanation:

Consider the random variable X 

Where X denotes the number of (success/having a correct answer)

in 10 identical and independent trials .

then

X follows the Binomial distribution with parameters 

10 and  p = p(success) = 1/4

[tex]p\left( X\geq 6\right) =\sum^{10}_{k=6} p\left( X=k\right)[/tex]

               [tex]=\sum^{10}_{k=6} C^{k}_{10}\left( \frac{1}{4} \right)^{k} \left( \frac{3}{4} \right)^{10-k}[/tex]

               [tex]=\frac{20686}{2^{20}} \\= 0.0197277[/tex]

Answer:

the length of the third side is 26

Step-by-step explanation:

By Pythagoras theorem

AC² = AB² + BC²

AC² = 10² + 24²

AC² = 100 + 576

AC² = 676

AC = √676

AC = 26

Answer:

FH = 15

Step-by-step explanation:

 G is lying between the point F & H on the line FH.

So, the distance of FH will be given by the sum of distance of FG and GH.

FH  = FG + GH

      = 10 + 5

      = 15

The sum of the given polynomial is 5x²- 5x +9

Polynomials are expressions with a degree of 3 and above. Given the equation shown;

(3x + 4) + ((5x²-1) + (2x + 6))

Expand

(3x + 4) + ((5x²-1) + (2x + 6))

3x + 4 + 5x²-1 + 2x + 6

Collect the like terms

5x² + 5x + 4 - 1 + 6

5x²- 5x +9

Hence the sum of the given polynomial is 5x²- 5x +9

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Answer:

no. a function doesnt contain an = sign

Step-by-step explanation:

Answer:

Yes, it is a function.

Explanation:

xy + 6y = 9

y(x + 6) = 9

y = 9/(x + 6)

It is a inverse variation function.

Where equation: xy = k               ["k" is constant]

tbh I have no Idea ask your mother

Answer:

line it, then try to add each number going from the top, my mother gave me that advice before, it works (:

Step-by-step explanation:

Answer:

X go's first then Y

Step-by-step explanation:

I did this before and got 100% promise and mark me brainiest

[tex]\text{First term,}~ a = 8\\\\\text{Common ratio,}~ r= \dfrac{32}8 = 4\\\\\text{nth term} = ar^{n-1} \\\\\text{9th term} = 8\cdot 4^{9-1}\\\\\\~~~~~~~~~~~~~=8 \cdot 4^8\\\\\\~~~~~~~~~~~~~=524288\\\\\text{The 9th of the geometric sequence is 525288.}[/tex]

The interest that Joanna earned in the first two months is $4.26.

Interest earned in the first month = future value - amount deposited.

Future value = amount deposited x (1 + monthly interest)

Monthly interest = 6/12 - 0.5% = $252.50

Interest = $252.50 = 250 = $2.50

Interest earned in the second monthly = future value of the first month + amount deposited x (1.005)

(252.50 + 100) x 1.005 = 354.26

Interest = 354.26 = 352.50 = $1.76

Total interest = $1.76 + $2.50 = $4.26

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The total amount paid for the article is Rs2782

The given parameters are:

Article = Rs 2750

VAT = Rs 32

The amount paid is calculated using:

Amount = Article + VAT

This gives

Amount = 2750 + 32

Evaluate

Amount = 2782

Hence, the total amount paid for the article is Rs2782

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Answer:

181.24

Step-by-step explanation:

The total surface area of the Trapezoidal Prism to be covered is: 181.24 cm².

Surface Area = 2(area of trapezoid) + area of the 4 rectangular faces.

Area of Rectangle 1 = length × width = 9 × 4 = 36 cm²

Area of Rectangle 2 = length × width = 9 × 5 1/4 = 47.25 cm²

Area of Rectangle 3 = length × width = 9 × 4 1/5 = 37.8 cm²

Area of Rectangle 2 = length × width = 9 × 6 1/2 = 58.5 cm²

Area of the two trapezoids = 2[1/2(a + b)h] = 2[1/2(6½ + 5¼)4] = 47 cm²

Surface area = 36 + 47.25 + 37.8 + 58.5 + 47 = 226.55 cm²

Total surface that will be covered = 4/5(226.55) = 181.24 cm²

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Answer:

1) 600cm^3            2) 10 glasses

Step-by-step explanation:

x = total amount in ml

(3/10)x = 180ml (MILK)

x = 600ml

(2/10)600 = 120ml (TIA MARIA)

(1/2)600 = 300ml (VODKA)

1) 600cm^3

2) 600ml : 60ml = 10 (GLASSES)

Answer:

the answer

Step-by-step explanation:

the answer is A

The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

56 + 72i -70i - 90(i²)

Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

i² = -1

So, we have:

56 + 2i - 90(-1)

Evaluate

56 + 2i + 90

Add the like terms

146 + 2i

Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

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Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].

It give the probability of each outcome, and each outcome is represented by a countable number.

The desired probability is:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]

As there is an open interval at X = 2, it does not enter the calculation. The values are:

Hence:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]

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